Finding the Third Proportional to 105,885 and 164,018

Step by Step Solution

1. Step 1: Write the proportion equation
   105,885 : 164,018 = 164,018 : x
2. Step 2: Convert to fraction form
   105,885/164,018 = 164,018/x
3. Step 3: Cross multiply
   105,885x = 164,018 × 164,018
4. Step 4: Simplify right side
   105,885x = 26,901,904,324
5. Step 5: Solve for x
   x = 26,901,904,324/105,885
6. Step 6: Final answer
   x = 254,067.19